Question

Help i forgot how to do this

Answer 1

Answer:

x = 8

Step-by-step explanation:

The diagram shows two similar triangles.  Similar triangles have all the same angles and the sides are proportional to one another.  So, by setting up a proportion of the sides, you can solve for the missing variable:

$\frac{bigger}{smaller}=\frac{156}{72}=\frac{(14x+5)}{54}$

Cross-multiply:  72(14x + 5) = 156(54)

Distribute:  1008x + 360 = 8424

Subtract 360 from both sides: 1008x + 360 - 360 = 8424 - 360

Divide: 1008x/1008 = 8064/1008

Solve for x: x = 8